I) On Fig. 1, draw a graph of extension against load for a spring which obeys Hooke’s law. [1] extension 0 load Fig

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1
(a) (i) 
On Fig. 3.1, draw a graph of extension against load for a spring which obeys Hooke’s
law.
[1]
extension
0
0
load
Fig. 3.1
(ii)
State the word used to describe the energy stored in a spring that has been stretched or
compressed.
.......................................................................................................................................[1]
(b)
Fig. 3.2 shows a model train, travelling at speed 
v,
approaching a buffer.
model train
buffer
spring
Fig. 3.2
The train, of mass 2.5 kg, is stopped by compressing a spring in the buffer. After the train has 
stopped, the energy stored in the spring is 0.48 J. 
Calculate the initial speed 
v
of the train. 
v
= ...........................................................[4]
[Total: 6]

 
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2
Fig. 2.1 shows a conveyor belt transporting a package to a raised platform. The belt is driven by a 
motor. 
package
motor
conveyor belt
Fig. 2.1 
(a)
The mass of the package is 36
kg.
Calculate the increase in the gravitational potential energy (g.p.e.) of the package when it is
raised through a vertical height of 2.4
m.
increase in g.p.e. = 
[2] 
(b)
The package is raised through the vertical height of 2.4
m in 4.4
s.
Calculate the power needed to raise the package.
power = 
[2] 
(c)
The electrical power supplied to the motor is much greater than the answer to 
(b)
.
Explain how the principle of conservation of energy applies to this system.
[2]

 
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(d)
Assume that the power available to raise packages is constant. A package of mass greater
than 36
kg is raised through the same height.
Suggest and explain the effect of this increase in mass on the operation of the conveyer belt.
[3] 
[Total: 9]